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Finding the Fourth Proportional to 7,652.52, 11,479.98 and 3,270

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Solution

The fourth proportional to 7,652.52, 11,479.98 and 3,270 is: 4,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.52 : 11,479.98 = 3,270 : x
  2. Step 2: Convert to fraction form
    7,652.52/11,479.98 = 3,270/x
  3. Step 3: Cross multiply
    7,652.52x = 11,479.98 × 3,270
  4. Step 4: Simplify right side
    7,652.52x = 37,539,534.60
  5. Step 5: Solve for x
    x = 37,539,534.60/7,652.52
  6. Step 6: Final answer
    x = 4,905.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.